Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 7 - Integration Techniques - 7.1 Basic Approaches - 7.1 Exercises: 1

Answer

Set $u = 4-7x$ and substitute $4-7x$ with $u$ in the integral

Work Step by Step

Setting $u = 4-7x$ would result in the integral $\int (u)^{-6} dx$, which is easier to integrate. $u = 4-7x$ $du = -7$ $\frac{-1}{7}\int u^{-6} du = (\frac{-1}{7}) \frac{-1}{5}u^{-5} = \frac{(4-7x)^{-5}}{35} $
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